Draw a Picture for a Scenario in Which You Would Use the Equation

For each equation

 Draw a picture for a scenario in which you would use the equation

 List what quantity each letter represents

 List units for each letter

hanging rope F=λgy

If nonconservative forces

 Power

Rate of energy transfer

 Center of mass

 Momentum

 Collisions

Elastic : Momentum and Energy is conserved! v1i+v1f=v2i+v2f

Inelastic: only momentum conserved!

Completely inelastic: momentum conserved but max

 Impulse

Impulse increases when object bounces due to change of direction

 Rotation

Tangential displacement

Tangential acceleration and angular acceleration are zero if angular velocity is constant

 Constant angular acceleration equations

 Moment of inertia

disk or cylinder: Rod:

 Angular Momentum

If pinned down means linear momentum not conserved, but no net external torque means angular momentum is conserved  Torque

 Rotational Kinetic Energy

 Rolling pure rolling: f(R)=Iα could be tension instead of friction down Incline: mgsin a=Rα slipping f=-ma

 Work

 Power

 Static Equilibrium

Hanging signs, ladders

 Gravity

Kepler 1. Elliptical orbits, sun/planet at focus (faster sun/planet at near focus, slower sun/planet at far focus)

1. Radius vector sweeps out equal areas in equal times mvr=mvr

 Gravitational Potential Energy

 Escape velocity

 Newton’s Universal Law of Gravitation

R=radius of circle r=center to center Inside planet R= Radius of Planet

 Acceleration due to gravity  Oscillations

Definition of simple harmonic motion

 Energy

 Pendulum

Electricity and Magnetism Significant Equations

Point Charges

 Coulomb’s Law: Force between two charges

 Force on a point charge due to Electric Field

N/C or V/m

 Gauss’s Law (Graphs!) conductors vs insulators

Subtract for empty space A=2 A=4 r2

 Electric Potential Energy due to an electric field

 Electric Potential Energy between two point charges

 Work to bring charge distribution together

 Electric Potential due to an Electric Field (Constant inside conductors) : start at infinity: If constant E then

 Electric potential due to a point charge

(equipotential lines=circles around a point charge, scalar...add!)

 Electric potential due to many point charges

 Capacitance

Farads dielectric

 Energy stored in capacitors

 Parallel Plate

This is true only because E=uniform between plates

Battery connected Voltage doesn’t change

Battery not connected charge on capacitor doesn’t change

 Capacitors in Series

 Cylindrical/spherical capacitors

(outside in)

 Electric Current

 Current Density

used for Ampere's Law  Drift velocity

 Ohm’s Law

 Resistivity

 Power

Watts (rate of energy) Energy =

 Resistors in Parallel

 Resistors in Series

 Kirchhoff Rules

 RC charging( graphs!!! initially capacitor acts like a wire)

i=dq/dt

 RC discharging (maintain voltage) ( graphs!!! initially capacitor acts like battery)

 Magnetic Force on a point charge due to a magnetic field

 Magnetic force on a wire due to a magnetic field

: electric motors

 Magnetic force between two wires

currents the same direction attract  Velocity selector (constant velocity)

mass spectrometers

 Torque on a loop due to a magnetic field

motors

 Hall Effect- piece of metal/measuring voltage across, use left hand for electrons!!!

 B-S Law (rings of wire)

Multiply by cos θ if ring on an axis

 Solenoid (know derivation)

: n= number of turns per unit length of solenoid

 Ampere’s Law

inside vs. outside wires

 Torrid

: N=number of turns

 Magnetic Induction

Webers CALCULUS

 Faraday’s / Lenz’s Law

ds=2πr : generators

 Inductance

 Inductor

 (inductors maintain current)

 Energy Stored in an inductor

 LC circuit

Gauss’ Law

Gauss’ Law for Magnetism

Faraday’s Law

Ampere’s Law with Maxwell’s displacement current

 Transformer